{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "pd.set_option('max_row',1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.1缺失值处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入美国年度失业率数据\n",
    "unemploy = pd.read_csv('data\\\\unemployment.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>rate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1955</td>\n",
       "      <td>4.383333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1956</td>\n",
       "      <td>4.141667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1957</td>\n",
       "      <td>4.258333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1958</td>\n",
       "      <td>6.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1959</td>\n",
       "      <td>5.475000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   year      rate\n",
       "0  1955  4.383333\n",
       "1  1956  4.141667\n",
       "2  1957  4.258333\n",
       "3  1958  6.800000\n",
       "4  1959  5.475000"
      ]
     },
     "execution_count": 198,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unemploy.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 构建一列随机缺失值列\n",
    "unemploy['missing'] = unemploy['rate']\n",
    "# 随机选择10%行手动填充缺失值\n",
    "mis_index = unemploy.sample(frac=0.1,random_state=999).index\n",
    "unemploy.loc[mis_index,'missing']=None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1.使用 forward fill填补缺失值**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [],
   "source": [
    "unemploy['f_fill'] = unemploy['missing']\n",
    "unemploy['f_fill'].ffill(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2bb1063bc10>"
      ]
     },
     "execution_count": 201,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察填充效果\n",
    "plt.scatter(unemploy.year,unemploy.rate,s=10)\n",
    "plt.plot(unemploy.year,unemploy.rate,label='real')\n",
    "plt.scatter(unemploy[~unemploy.index.isin(mis_index)].year,unemploy[~unemploy.index.isin(mis_index)].f_fill,s=10,c='r')\n",
    "plt.scatter(unemploy.loc[mis_index].year,unemploy.loc[mis_index].f_fill,s=50,c='r',marker='v')\n",
    "plt.plot(unemploy.year,unemploy.f_fill,label='forward fill')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**2.使用moving average填补缺失值**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {},
   "outputs": [],
   "source": [
    "unemploy['moveavg']=np.where(unemploy['missing'].isnull(),\n",
    "                             unemploy['missing'].shift(1).rolling(3,min_periods=1).mean(),\n",
    "                             unemploy['missing'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2bb179800d0>"
      ]
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察填充效果\n",
    "plt.scatter(unemploy.year,unemploy.rate,s=10)\n",
    "plt.plot(unemploy.year,unemploy.rate,label='real')\n",
    "plt.scatter(unemploy[~unemploy.index.isin(mis_index)].year,unemploy[~unemploy.index.isin(mis_index)].f_fill,s=10,c='r')\n",
    "plt.scatter(unemploy.loc[mis_index].year,unemploy.loc[mis_index].f_fill,s=50,c='r',marker='v')\n",
    "plt.plot(unemploy.year,unemploy.f_fill,label='forward fill',c='r',linestyle = '--')\n",
    "plt.scatter(unemploy[~unemploy.index.isin(mis_index)].year,unemploy[~unemploy.index.isin(mis_index)].moveavg,s=10,c='r')\n",
    "plt.scatter(unemploy.loc[mis_index].year,unemploy.loc[mis_index].moveavg,s=50,c='g',marker='^')\n",
    "plt.plot(unemploy.year,unemploy.moveavg,label='moving average',c='g',linestyle = '--')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**3.使用interpolation填补缺失值**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 尝试线性插值和多项式插值\n",
    "unemploy['inter_lin']=unemploy['missing'].interpolate(method='linear')\n",
    "unemploy['inter_poly']=unemploy['missing'].interpolate(method='polynomial', order=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2bb196c5730>"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察填充效果\n",
    "plt.plot(unemploy.year,unemploy.rate,label='real')\n",
    "plt.plot(unemploy.year,unemploy.inter_lin,label='linear interpolation',c='r',linestyle = '--')\n",
    "plt.plot(unemploy.year,unemploy.inter_poly,label='polynomial interpolation',c='g',linestyle = '--')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.2 数据平滑"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入航空乘客数据\n",
    "air = pd.read_csv('data\\\\air.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Passengers</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1949/1</td>\n",
       "      <td>112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1949/2</td>\n",
       "      <td>118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1949/3</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1949/4</td>\n",
       "      <td>129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1949/5</td>\n",
       "      <td>121</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Date  Passengers\n",
       "0  1949/1         112\n",
       "1  1949/2         118\n",
       "2  1949/3         132\n",
       "3  1949/4         129\n",
       "4  1949/5         121"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "air.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 设置两种平滑系数\n",
    "air['smooth_0.5']= air.Passengers.ewm(alpha =0.5).mean()\n",
    "air['smooth_0.9']= air.Passengers.ewm(alpha =0.9).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2460f09cb50>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(air.Date,air.Passengers,label='actual')\n",
    "plt.plot(air.Date,air['smooth_0.5'],label='alpha=0.5')\n",
    "plt.plot(air.Date,air['smooth_0.9'],label='alpha=0.9')\n",
    "plt.xticks(rotation=45)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
